1. In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.
Triangle Proportionality Theorem: If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally. Triangle Proportionality Theorem Converse: If a line divides two sides of a triangle proportionally, then it is parallel to the third side.
Term Definition
Triangle Proportionality Theorem The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally
2. 16 / 32 = x / 20
Then cross multiply
(16) (20) = 320
(32) (x) = 32x
32x = 320
32x / 32 = 320 / 32
x = 10 (Final Answer)
3. 4 / 12 = x / 24
Then cross multiply
(4) (24) = 96
(12) (x) = 12x
12x = 96
12x / 12 = 96 / 12
x = 8
4. 6 / x = 12 / 24
Then cross multiply
(24) (6) = 144
(12) (x) = 12 x
12x / 12 = 144 / 12
x = 12
